Tom,
"I appreciate that you think my argument over definitions is circular; however, all definitions *are* circular, i.e., self-referential. That Newton defined mass in terms of inertia and Einstein extended the definition to energy makes their definitions operational rather than mathematically formal, which is only consistent with *all* definitions for physical phenomena.
I'm trying to understand how you can say that certain physical phenomena are undefined in physics while claiming that your own physics defines them. You aren't helping me (or yourself) by refusing to provide a framework in which to understand, and even further providing no references. If it's true that "Physicists did not know how to define either force or mass, and, their solution was to make mass a fundamentally indefinable property, letting force then be defined in terms of mass and acceleration ..." then who said it, what did they mean by "indefinable," and what is lacking in the operational definitions that would be corrected by some other -- unknown and unstated -- means of "defining?" And then -- in what way would physics change if one accepted this premise? Yes, I know that you've said "theory would be removed" yet theorizing is itself a process of defining, so how does your proposed non-theory differ from theory?"
I have given a reference and even quoted it. I have explained what must be done and why. I have explained what happens to properties and their units. I have explained how the equations of physics change. I have done this for years in messages and in essays. Ok, I understand that a theoretical physicist might glimpse at something I right and quickly dismiss it as obviously wrong. So, it is reasonable to assume that almost no one here yet understands what I mean when I differentiate between equations in their theoretical forms and their empirical forms. So I will let the criticisms you give above pass as an understandable misunderstanding.
Beginning at the beginning. I quote from College Physics, Sears and Zemansky, 1960, 3rd ed., Chapter 1, Page 1:
"1-1 The fundamental indefinable of mechanics. Physics has been called the science of measurement. To quote from Lord Kelvin (1824-1907), "I often say that when you measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot express it in numbers, your knowledge is of a meager and unsatisfactory kind; it may be the beginning of knowledge, but you have scarcely, in your thoughts, advanced to the stage of science, what ever the matter may be."
A definition of a quantity in physics must provide a set of rules for calculating it in terms of other quantities that can be measured. Thus, when momentum is defined as the product of "mass' and "velocity," the rule for calculating momentum is contained within the definition, and all that is necessary is to know how to measure mass and velocity. The definition of velocity is given in terms of length and time, but there are no simpler or more fundamental quantities in terms of which length and time may be expressed. Length and time are two of the indefinable of mechanics. It has been found possible to express all the quantities of mechanics in terms of only three indefinable. The third may be taken to be "mass" or "force" with equal justification. We shall choose mass as the third indefinable of mechanics.
In geometry, the fundamental indefinable is the "point." The geometer asks his disciple to build any picture of a point in his mind, provided the picture is consistent with what the geometer says about the point. In physics, the situation is not so subtle. Physicists from all over the world have international committees at whose meetings the rules of measurement of the indefinable are adopted. The rule for measuring an indefinable takes the place of a definition.
1-2 Standards and units. The measurement of any indefinable of physics involves the application of a simple set of rules. Instead of referring to these rules in the abstract, let us employ them in connection with the quantity "length." The first step is to choose an arbitrary standard of length, in the form of an inanimate, solid, durable material. The international standard of length is... A standard is arbitrary, and its virtue lies in the fact that all the scientists of the world accept it. ..."
I have this book as a reference because I bought it used off of the internet. I chose it because the author states the case clearly. My impression from reading is that modern texts tend to give weaker introductions. I will wait and see if this message is understood. Lest any reader think that this is too trivial to ponder about, it represents the first error of theoretical physics.
James Putnam